6 papers
Tangential and normal partial slip at the liquid-fluid interfaces: application to a small liquid droplet, gas bubble, and aerosol
Peter Lebedev-Stepanov
An analytical solution is obtained for the problem of the slow movement of a small drop of a fluid in another immiscible fluid in an infinitely large reservoir with the boundary co…
Stokes flows in a sessile hemispherical drop due to evaporation and surface tension gradient
Peter Lebedev-Stepanov
Viscous hydrodynamic flow in a small, slowly evaporating, sessile hemispherical droplet with a pinned contact line is considered. Analytical solutions are obtained for the Deegan o…
Sliding of a liquid spherical drop in an external fluid: a generalization of the Hadamard-Rybczynski equation
Peter Lebedev-Stepanov
An analytical solution is obtained for the problem of the slow movement of a small drop of liquid in another immiscible liquid in an infinitely large reservoir with the boundary co…
Vector Laplacian in Spherical Coordinates: An Unnoticed Typo in Landau and Lifshitz's Fluid Mechanics Course
Peter Lebedev-Stepanov
A previously unaccounted fundamental typo has been discovered in Course of Theoretical Physics, vol. 6, by Landau and Lifshitz Fluid Mechanics, 1987, Pergamon, which corresponds to…
Sliding of a liquid spherical droplet in an external insoluble liquid at low Reynolds numbers
Peter Lebedev-Stepanov
The experiment shows that small liquid droplets under the action of gravity and the Archimedes force move in the external viscous liquid practically according to the Stokes drag fo…
Stokes flow of incompressible liquid through a conical diffuser with partial slip boundary condition
Peter Lebedev-Stepanov
An alternative form of the general solution of the linearized stationary Navier-Stokes equations for an incompressible fluid in spherical coordinates is obtained by the vector pote…